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Finding the Fourth Proportional to 23.14, 31.83 and 18.95

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Solution

The fourth proportional to 23.14, 31.83 and 18.95 is: 26.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.14 : 31.83 = 18.95 : x
  2. Step 2: Convert to fraction form
    23.14/31.83 = 18.95/x
  3. Step 3: Cross multiply
    23.14x = 31.83 × 18.95
  4. Step 4: Simplify right side
    23.14x = 602.95
  5. Step 5: Solve for x
    x = 602.95/23.14
  6. Step 6: Final answer
    x = 26.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.